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Simplifying 0 = 3(x + y) + 2(x + y) + -4x 0 = (x * 3 + y * 3) + 2(x + y) + -4x 0 = (3x + 3y) + 2(x + y) + -4x 0 = 3x + 3y + (x * 2 + y * 2) + -4x 0 = 3x + 3y + (2x + 2y) + -4x Reorder the terms: 0 = 3x + 2x + -4x + 3y + 2y Combine like terms: 3x + 2x = 5x 0 = 5x + -4x + 3y + 2y Combine like terms: 5x + -4x = 1x 0 = 1x + 3y + 2y Combine like terms: 3y + 2y = 5y 0 = 1x + 5y Solving 0 = 1x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0 + -1x = 1x + -1x + 5y Remove the zero: -1x = 1x + -1x + 5y Combine like terms: 1x + -1x = 0 -1x = 0 + 5y -1x = 5y Divide each side by '-1'. x = -5y Simplifying x = -5y
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